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- W1992509469 abstract "LetM be a smooth closed spin manifold. The higher index theorem, as given for example in Proposition 6.3 of [CM], computes the pairing between the group cohomology of π1(M) and the Chern character of the “higher” index of a Dirac-type operator on M. Using superconnections, we give a heat equation proof of this theorem on the level of differential forms on a noncommutative base space. As a consequence, we obtain a new proof of the Novikov conjecture for hyperbolic groups." @default.
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- W1992509469 date "1992-12-01" @default.
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- W1992509469 title "Superconnections and higher index theory" @default.
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- W1992509469 doi "https://doi.org/10.1007/bf01896662" @default.
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